{
  "id": "1212.5351",
  "version": "v3",
  "published": "2012-12-21T07:27:01.000Z",
  "updated": "2013-10-01T07:11:11.000Z",
  "title": "Suborbits in Knaster's problem",
  "authors": [
    "Boris Bukh",
    "Roman Karasev"
  ],
  "comment": "Minor corrections are made after reviewing in the journal",
  "journal": "Bull. London Math. Soc. 46:2 (2014), 269-278",
  "doi": "10.1112/blms/bdt088",
  "categories": [
    "math.FA",
    "math.CO"
  ],
  "abstract": "In this paper we exhibit a similarity between Euclidean Ramsey problems and Knaster-type problems. By borrowing ideas from Ramsey theory we prove weak Knaster properties of non-equatorial triangles in spheres, and of simplices in Euclidean spaces.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-10-01T07:11:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B07",
      "05D10",
      "52C99"
    ],
    "keywords": [
      "knasters problem",
      "euclidean ramsey problems",
      "weak knaster properties",
      "ramsey theory",
      "knaster-type problems"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.5351B"
    }
  }
}